主講人：張聰暉 北京建筑大學講師

時間：2024年12月9日9：30

地點：三號樓332室

舉辦單位：數理學院

主講人介紹：張聰暉，講師。中國人民大學博士，師從Izumi Takagi教授，博士期間曾赴日本東北大學進行為期16個月的聯合培養，合作導師Goro Akagi教授；清華大學博士后，合作導師章梅榮教授，獲得中國博士后科學基金，清華大學“水木學者”特別資助等。在《SIAM Journal on Mathematical Analysis》、《Journal of Differential Equations》、《Discrete and Continuous Dynamical Systems-A》等數學期刊發表論文十余篇。

內容介紹：We consider a receptor-based model which arises from the modeling of interactions between intracellular processes and diffusible signaling factors. By applying the variational method, we prove the existence of stationary solutions with jump discontinuity. Then a singular perturbation problem with discontinuous nonlinearity is studied based on the patching argument and the implicit function theorem, to obtain a solution with a single transition layer. Moreover, we derive a sufficient condition for the stability of stationary solutions with jump discontinuity. This talk is based on a joint work with Professors Akagi Goro and Izumi Takagi.